Effective method for analysis of the rate of hydration of Portland cement based on size distribution

Abstract

The fundamental equation of the rate of hydration derived by Tomozawa, which was originally applied to a single particle, was applied to the hydration process of Portland cement using a size distribution function. We generalized the fundamental equation to apply it to particle size distribution system. Actually, multiple reaction rates that vary according to the particle size can be superposed under a common axis of reaction time using an infinite series of Bessel polynomials as a function of the reaction time. By simulating the heat liberation with the hydration rate equation in terms of the size distribution, the parameters in the equation could be accurately determined.